We study bulk timelike geodesics in the presence of a brane-world black hole, where the brane -world is a two-brane moving in a3+1-dimensional asymptoticallyadS4spacetime. We show that for a certain range of the parameters measuring the black hole mass and bulk cosmological constant, there exist stable timelike geodesics which orbit the black hole and remain bound close to the two-brane. ©2001 American Institute of Physics.